Nonlocal extension of causal thermodynamics of the isotropic cosmic fluid
arXiv:2111.14386 · doi:10.1016/j.physletb.2022.136912
Abstract
We establish the nonlocal generalization of the Israel-Stewart model for the relativistic causal thermodynamics of the cosmic fluid, which evolves in the homogeneous isotropic Universe. Based on the second law of thermodynamics we derive the integro-differential master equation for the nonequilibrium pressure scalar and reduce it to the differential equation of the second order in time derivatives. We show that this master equation can be considered as the relativistic analog of the Burgers equation, which is known in the classical theory of viscoelasticity. We obtain the nonlinear key equation, which contains the energy density scalar only, and analyze two exact solutions of the model. The effective temperature is considered to be associated with the barotropic equation of state of the cosmic fluid.
arXiv comment10 pages, 2 figures, revised version published in Phys.Lett.B
References in corpus (26)
- Bulk Viscous Cosmology
- The new form of the equation of state for dark energy fluid and accelerating universe
- Bulk Viscous Cosmology
- Viscous dark energy and phantom evolution
- Cosmological particle production, causal thermodynamics, and inflationary expansion
- Causal Thermodynamics in Relativity
- Density perturbations with relativistic thermodynamics
- Unified dark energy thermodynamics: varying w and the -1-crossing
- Hyperbolic theories of dissipation: Why and when do we need them?
- Reheating and causal thermodynamics
- Accelerated and decelerated expansion in a causal dissipative cosmology
- Multiple Lambda cosmology: dark fluid with time-dependent equation of state as classical analog of cosmological landscape
- Thermodynamically allowed phantom cosmology with viscous fluid
- Archimedean-type force in a cosmic dark fluid: III. Big Rip, Little Rip and Cyclic solutions
- Archimedean-type force in a cosmic dark fluid: I. Exact solutions for the late-time accelerated expansion
- Inflation in a self-interacting gas universe
- Constitutive law of nonlocal gravity
- Archimedean-type force in a cosmic dark fluid: II. Qualitative and numerical study of a multistage Universe expansion
- Elasticity Theory in General Relativity
- Full causal dissipative cosmologies with stiff matter
- Acoustic oscillations and viscosity
- Constraining a causal dissipative cosmological model
- Cosmological thermodynamics and deflationary gas universe
- Bianchi-I cosmology from causal thermodynamics
- Dark Energy and Dark Matter Interaction: Kernels of Volterra Type and Coincidence Problem
- Generalised equilibrium of cosmological fluids in second-order thermodynamics